Problem

At what point of the curve $ y = \cosh x $ does t…

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Problem 56 Easy Difficulty

If $ x = \ln (\sec \theta + \tan \theta), $ show that $ \sec \theta = \cosh x. $

Answer

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Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 11

Hyperbolic Functions

Discussion

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Video Transcript

we know that we can rewrite this as 1/2 times e to the X plus e to the negative box. Therefore, using the pipe Iram identity of one plus tan squirt of data is equivalent to seek it. Square data. We have 1/2 times two seek it, beta. Therefore, we know that coastline H of X is the same thing as seeking data.

Amrita B.

Topics

Derivatives

Differentiation

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 11

Hyperbolic Functions

Top Calculus 1 / AB Educators

Grace H.

Numerade Educator

Anna Marie V.

Campbell University

Heather Z.

Oregon State University

Michael J.

Idaho State University